78493708800 has 480 divisors, whose sum is σ = 310290140160. Its totient is φ = 19320422400.

The previous prime is 78493708759. The next prime is 78493708837. The reversal of 78493708800 is 880739487.

78493708800 is a `hidden beast` number, since 7 + 8 + 493 + 70 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×78493708800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4484065 + ... + 4501535.

It is an arithmetic number, because the mean of its divisors is an integer number (646437792).

Almost surely, 2^78493708800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78493708800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155145070080).

78493708800 is an abundant number, since it is smaller than the sum of its proper divisors (231796431360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

78493708800 is a wasteful number, since it uses less digits than its factorization.

78493708800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17521 (or 17494 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 78493708800 in words is "seventy-eight billion, four hundred ninety-three million, seven hundred eight thousand, eight hundred".